Matrix Multiplication

Multiplication Simulation

http://matrixmultiplication.xyz/

Matrix Multiplication Formula

• $T=[t_{ij}]\in M_{t\times k}(\mathbb{F})$
• $S=[s_{ij}]\in M_{k\times n}(\mathbb{F})$
• Then, $TS=[p_{ij}]$
• Where $p_{ij}={\sum }_{n=1}^k{t}_{in}{s}_{ni}$

Properties

• Distributive over addition

Examples

• Matrix Multiplication 2x2 Example

Other

• Matrix Multiplication of Composite Maps